SOLUTION: Three cards are drawn one at a time from a standard deck without replacement. Find the probability that:
(answers in fractions)
a) all are jacks
b) all are clubs
c) all
Algebra ->
Probability-and-statistics
-> SOLUTION: Three cards are drawn one at a time from a standard deck without replacement. Find the probability that:
(answers in fractions)
a) all are jacks
b) all are clubs
c) all
Log On
Question 1136111: Three cards are drawn one at a time from a standard deck without replacement. Find the probability that:
(answers in fractions)
a) all are jacks
b) all are clubs
c) all are red cards Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website!
a) There are four jacks in the deck
Pr 1st draw is a jack: (4/52)
Pr 2nd draw is a jack: (3/51) (3 of the remaining 51 cards are jacks)
Pr 3rd draw is a jack: (2/50)
Pr (all three are jacks) = (4/52)(3/51)(2/50) = (1/13)(1/17)(1/25) =
b) There are 13 clubs, follow the same logic as above, 13/52, 12/51, etc...
c) There are 26 red cards, follow the same logic as above.
The more effort you put in, the deeper the learning.